Journal
SIGNAL PROCESSING
Volume 91, Issue 3, Pages 525-530Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.sigpro.2010.01.027
Keywords
Anomalous relaxation process; Random-order operator; Anomalous diffusion; Variable-order diffusion model
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Funding
- Program for New Century Excellent Talents in University, China [NCET-06-0480]
- Key Laboratory of Coastal Disasters and Defence of Ministry of Education
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This paper proposes a new concept of random-order fractional differential equation model, in which a noise term is included in the fractional order. We investigate both a random-order anomalous relaxation model and a random-order time fractional anomalous diffusion model to demonstrate the advantages and the distinguishing features of the proposed models. From numerical simulation results, it is observed that the scale parameter and the frequency of the noise play a crucial role in the evolution behaviors of these systems. In addition, some potential applications of the new models are presented. (C) 2010 Elsevier B.V. All rights reserved.
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